Pith Number

pith:67BQIYVQ

pith:2019:67BQIYVQCZS2UI234T3CRNMCFJ

not attested not anchored not stored refs pending

Trisections of 5-manifolds

Maggie Miller, Peter Lambert-Cole

arxiv:1904.01439 v2 · 2019-04-02 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67BQIYVQCZS2UI234T3CRNMCFJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:49:24.344425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c30462b01665aa235be4f628b5822a50e40487c532e16c81ba98d7c1a12cbb

Aliases

arxiv: 1904.01439 · arxiv_version: 1904.01439v2 · doi: 10.48550/arxiv.1904.01439 · pith_short_12: 67BQIYVQCZS2 · pith_short_16: 67BQIYVQCZS2UI23 · pith_short_8: 67BQIYVQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/67BQIYVQCZS2UI234T3CRNMCFJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f7c30462b01665aa235be4f628b5822a50e40487c532e16c81ba98d7c1a12cbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7a7ef5de715ed3d62fb471f4b09410532494dedc4ed69e07613e56f4186f57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-02T14:06:24Z",
    "title_canon_sha256": "a85c2aed2c998b641aa9d69221ff5ab91a1c181f6d596f4acccf79a161ea6408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01439",
    "kind": "arxiv",
    "version": 2
  }
}